Convergence and stability of an iteration process and solution of a fractional differential equation

DOI10.1186/s13660-021-02677-wzbMath1495.47118OpenAlexW3197036927WikidataQ115241543 ScholiaQ115241543MaRDI QIDQ2072937

Faeem Ali, Mohd Jubair, Javid Ali

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02677-w

zbMATH Keywords

fixed pointuniformly convex Banach spacefractional differential equationiteration processescontractive-like mappingSuzuki's condition (C)

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fractional ordinary differential equations (34A08) Fixed-point iterations (47J26)

Related Items

On the approximation of fixed points for the class of mappings satisfying $(CSC)$-condition in Hadamard spaces

Uses Software

• Matlab

Cites Work

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• Some observations on generalized non-expansive mappings with an application
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• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Edelstein's method and fixed point theorems for some generalized nonexpansive mappings
• Some existence results on nonlinear fractional differential equations
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Approximating Fixed Points of Nonexpansive Mappings
• Fixed Points by a New Iteration Method
• Some results of the Picard-Krasnoselskii hybrid iterative process
• The Round‐off Stability of Iterations
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A Generalization of a Fixed Point Theorem of Reich
• Mean Value Methods in Iteration

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